Re: Quaternion Mandelbrot Set with attractor on a 2-sphere?

akirab@xxxxxxxxxx wrote:

Thanks Roger for all that Mathematica code. Pity I haven't got it. Any
way of posting those pictures? Does that sphere expression in the code,
create a sphere attractor?

For a while there I thought if one could devise an iteration using
quaternions to create a dust fractal with a 2-sphere core as an
asymptotic surface. Basically transforming Minkowsky space by tearing,
stretching out and creating a hole. Are you saying that
a black hole singularity can not be created using quaternions by
algebraic trickery, and that one needs a larger containing space?

AB






akirab@xxxxxxxxxx,
Here's the way I see it:
Leptons are kind of like weak and electromagnetic " singularities".
They actually form pretty early in the big bang,
but it takes the Higgs mechanism symmetry breaking for the scalar field of gravity to
be differentiated completely from the electromagnetic field.
At temperatures above the Higgs temperature,
there is pretty much just one "curvature" based field.
With a quaternion/ U(1)*SU(2) model
of a "singularity" , you are looking at all the leptons
as "tiles" on the complex plane and the velocity
acting as an interaction angle between matter (up/ pole) and anti-matter ( down/hole) pairs.
In gravitational terms they talk about blackholes ( takes in light) and whiteholes ( broadcasts light).

I'll see about posting the picture to some place you can look at.
It's not all that good a projection... just slightly better than none at all.
It takes a relatively long time to get any resolution in Mathematica.
Roger Bagula
.

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